%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN005-4 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:22:51 AM UTC 2026 % Result : Unsatisfiable 15.84s 16.31s % Output : Proof 15.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : HEN005-4 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n010.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 02:14:40 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.69/16.02 --- Run --no-e-matching --full-saturate-quant at 6... % 15.84/16.31 % SZS status Unsatisfiable % 15.84/16.31 % SZS output start Proof % 15.84/16.32 ( % 15.84/16.32 (declare-sort $$unsorted 0) % 15.84/16.32 (declare-const tptp.c $$unsorted) % 15.84/16.32 (declare-const tptp.a $$unsorted) % 15.84/16.32 (declare-const tptp.b $$unsorted) % 15.84/16.32 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 15.84/16.32 (declare-const tptp.identity $$unsorted) % 15.84/16.32 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 15.84/16.32 (declare-const tptp.zero $$unsorted) % 15.84/16.32 (define @t1 () (@var "Y" $$unsorted)) % 15.84/16.32 (define @t2 () (@var "X" $$unsorted)) % 15.84/16.32 (define @t3 () (tptp.divide @t2 @t1)) % 15.84/16.32 (define @t4 () (= @t3 tptp.zero)) % 15.84/16.32 (define @t5 () (tptp.less_equal @t2 @t1)) % 15.84/16.32 (define @t6 () (not @t5)) % 15.84/16.32 (define @t7 () (or @t6 @t4)) % 15.84/16.32 (define @t8 () (@list @t2 @t1)) % 15.84/16.32 (define @t9 () (forall @t8 @t7)) % 15.84/16.32 (define @t10 () (not @t4)) % 15.84/16.32 (define @t11 () (or @t10 @t5)) % 15.84/16.32 (define @t12 () (forall @t8 @t11)) % 15.84/16.32 (define @t13 () (@var "Z" $$unsorted)) % 15.84/16.32 (define @t14 () (@list @t2)) % 15.84/16.32 (define @t15 () (tptp.divide tptp.zero @t2)) % 15.84/16.32 (define @t16 () (forall @t14 (= @t15 tptp.zero))) % 15.84/16.32 (define @t17 () (tptp.divide @t2 tptp.zero)) % 15.84/16.32 (define @t18 () (forall @t14 (= @t17 @t2))) % 15.84/16.32 (define @t19 () (tptp.less_equal tptp.a tptp.b)) % 15.84/16.32 (define @t20 () (tptp.less_equal tptp.b tptp.c)) % 15.84/16.32 (define @t21 () (tptp.less_equal tptp.a tptp.c)) % 15.84/16.32 (define @t22 () (tptp.divide tptp.a tptp.c)) % 15.84/16.32 (define @t23 () (@list @t22)) % 15.84/16.32 (define @t24 () (= tptp.zero @t22)) % 15.84/16.32 (define @t25 () (not @t24)) % 15.84/16.32 (define @t26 () (or @t25 @t21)) % 15.84/16.32 (define @t27 () (not (tptp.less_equal @t22 tptp.zero))) % 15.84/16.32 (define @t28 () (tptp.less_equal tptp.zero @t22)) % 15.84/16.32 (define @t29 () (not @t28)) % 15.84/16.32 (define @t30 () (or @t29 @t27 @t24)) % 15.84/16.32 (define @t31 () (tptp.divide tptp.a tptp.b)) % 15.84/16.32 (define @t32 () (= tptp.zero @t31)) % 15.84/16.32 (define @t33 () (not @t19)) % 15.84/16.32 (define @t34 () (or @t33 @t32)) % 15.84/16.32 (define @t35 () (@list false false)) % 15.84/16.32 (define @t36 () (tptp.divide @t31 tptp.c)) % 15.84/16.32 (define @t37 () (tptp.divide tptp.b tptp.c)) % 15.84/16.32 (define @t38 () (= tptp.zero @t37)) % 15.84/16.32 (define @t39 () (not @t20)) % 15.84/16.32 (define @t40 () (or @t39 @t38)) % 15.84/16.32 (define @t41 () (tptp.divide @t22 @t37)) % 15.84/16.32 (assume @p1 @t9) % 15.84/16.32 (assume @p2 @t12) % 15.84/16.32 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 15.84/16.32 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t13) (tptp.divide @t1 @t13)) (tptp.divide @t3 @t13)))) % 15.84/16.32 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 15.84/16.32 (assume @p6 (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 15.84/16.32 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 15.84/16.32 (assume @p8 (forall @t14 (= (tptp.divide @t2 tptp.identity) tptp.zero))) % 15.84/16.32 (assume @p9 @t16) % 15.84/16.32 (assume @p10 (forall @t14 (= (tptp.divide @t2 @t2) tptp.zero))) % 15.84/16.32 (assume @p11 @t18) % 15.84/16.32 (assume @p12 @t19) % 15.84/16.32 (assume @p13 @t20) % 15.84/16.32 (assume @p14 (not @t21)) % 15.84/16.32 (step @p15 :rule evaluate :args ((= true false))) % 15.84/16.32 (step @p16 :rule instantiate :premises (@p6) :args ((@list tptp.zero @t22))) % 15.84/16.32 (step @p17 :rule instantiate :premises (@p5) :args (@t23)) % 15.84/16.32 (step @p18 :rule refl :args (@t5)) % 15.84/16.32 (step @p19 :rule eq-symm :args (@t3 tptp.zero)) % 15.84/16.32 (step @p20 :rule cong :premises (@p19) :args (@t10)) % 15.84/16.32 (step @p21 :rule nary_cong :premises (@p20 @p18) :args (@t11)) % 15.84/16.32 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 15.84/16.32 (step @p23 :rule eq_resolve :premises (@p2 @p22)) % 15.84/16.32 (step @p24 :rule instantiate :premises (@p23) :args ((@list tptp.a tptp.c))) % 15.84/16.32 (step @p25 :rule cnf_or_pos :args (@t26)) % 15.84/16.32 (step @p26 :rule reordering :premises (@p25) :args ((or @t21 @t25 (not @t26)))) % 15.84/16.32 (step @p27 :rule chain_m_resolution :premises (@p26 @p14 @p24) :args (@t25 (@list true false) (@list @t21 @t26))) % 15.84/16.32 (step @p28 :rule cnf_or_pos :args (@t30)) % 15.84/16.32 (step @p29 :rule reordering :premises (@p28) :args ((or @t24 @t29 @t27 (not @t30)))) % 15.84/16.32 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p17 @p16) :args (@t27 (@list true false false) (@list @t24 @t28 @t30))) % 15.84/16.32 (step @p31 :rule false_intro :premises (@p30)) % 15.84/16.32 (step @p32 :rule eq-symm :args (@t15 tptp.zero)) % 15.84/16.32 (step @p33 :rule cong :premises (@p32) :args (@t16)) % 15.84/16.32 (step @p34 :rule eq_resolve :premises (@p9 @p33)) % 15.84/16.32 (step @p35 :rule instantiate :premises (@p34) :args ((@list tptp.c))) % 15.84/16.32 (step @p36 :rule symm :premises (@p35)) % 15.84/16.32 (step @p37 :rule refl :args (tptp.c)) % 15.84/16.32 (step @p38 :rule refl :args (@t6)) % 15.84/16.32 (step @p39 :rule nary_cong :premises (@p38 @p19) :args (@t7)) % 15.84/16.32 (step @p40 :rule cong :premises (@p39) :args (@t9)) % 15.84/16.32 (step @p41 :rule eq_resolve :premises (@p1 @p40)) % 15.84/16.32 (step @p42 :rule instantiate :premises (@p41) :args ((@list tptp.a tptp.b))) % 15.84/16.32 (step @p43 :rule cnf_or_pos :args (@t34)) % 15.84/16.32 (step @p44 :rule reordering :premises (@p43) :args ((or @t33 @t32 (not @t34)))) % 15.84/16.32 (step @p45 :rule chain_m_resolution :premises (@p44 @p12 @p42) :args (@t32 @t35 (@list @t19 @t34))) % 15.84/16.32 (step @p46 :rule symm :premises (@p45)) % 15.84/16.32 (step @p47 :rule cong :premises (@p46 @p37) :args (@t36)) % 15.84/16.32 (step @p48 :rule trans :premises (@p47 @p36)) % 15.84/16.32 (step @p49 :rule eq-symm :args (@t17 @t2)) % 15.84/16.32 (step @p50 :rule cong :premises (@p49) :args (@t18)) % 15.84/16.32 (step @p51 :rule eq_resolve :premises (@p11 @p50)) % 15.84/16.32 (step @p52 :rule instantiate :premises (@p51) :args (@t23)) % 15.84/16.32 (step @p53 :rule symm :premises (@p52)) % 15.84/16.32 (step @p54 :rule instantiate :premises (@p41) :args ((@list tptp.b tptp.c))) % 15.84/16.32 (step @p55 :rule cnf_or_pos :args (@t40)) % 15.84/16.32 (step @p56 :rule reordering :premises (@p55) :args ((or @t39 @t38 (not @t40)))) % 15.84/16.32 (step @p57 :rule chain_m_resolution :premises (@p56 @p13 @p54) :args (@t38 @t35 (@list @t20 @t40))) % 15.84/16.32 (step @p58 :rule symm :premises (@p57)) % 15.84/16.32 (step @p59 :rule refl :args (@t22)) % 15.84/16.32 (step @p60 :rule cong :premises (@p59 @p58) :args (@t41)) % 15.84/16.32 (step @p61 :rule trans :premises (@p60 @p53)) % 15.84/16.32 (step @p62 :rule cong :premises (@p61 @p48) :args ((tptp.less_equal @t41 @t36))) % 15.84/16.32 (step @p63 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.c tptp.b))) % 15.84/16.32 (step @p64 :rule true_intro :premises (@p63)) % 15.84/16.32 (step @p65 :rule symm :premises (@p64)) % 15.84/16.32 (step @p66 :rule trans :premises (@p65 @p62 @p31)) % 15.84/16.32 (step @p67 false :rule eq_resolve :premises (@p66 @p15)) % 15.84/16.32 ) % 15.84/16.32 % SZS output end Proof % 15.84/16.32 % cvc5 exiting %------------------------------------------------------------------------------